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Hidden symmetries of deformed oscillators

Krivonos Sergey (JINR)

3 aprile @ 11:00 - 13:00

We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group. In the limit of a contraction to a Schrodinger algebra, these equations reduce to a system of ordinary harmonic oscillators. We provide two clarifying examples of such deformed oscillators: one system invariant under SO(2,3) transformations, and another system featuring G2(2) symmetry. The construction of invariant actions requires adding semi-dynamical degrees of freedom; we illustrate the algorithm with the two examples mentioned.


3 aprile
11:00 - 13:00
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Aula Seminari
Via Enrico Fermi, 40
Frascati, Roma 00044 Italia